Solve the following differential equations using HOMOGENEOUS DE. Show your complete 3. (x²y + 2xy² - y²) dx = (2y³ – xy² + x³) dy

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A: The given differential equation is

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A: Given Indefinite integral as follows

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A: The given statement "The magnitude of the vector  is "

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A: Note:-Since you asked multiple sub parts questions, according to our policy we can solve only first…

Q: Let f(v) = v +17 v + 12 Determine the critical values of f. Write exact answers. Do not round off.…

A: Given,

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A: The given polynomial function is  on the interval .

Q: (3) Redo Question (2) of Homework 1 using the Exact approach 2xydx + x²dy = 0

A: Given Differential Equation is as follows

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A: h(v)=4vv2+6

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Q: PROBLEM No. 2. Solve the following differential equation by the method of undetermined coefficients:…

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Q: 140 -x³ to answer the questions below. 3 3 747x4 tical numbers of f(x)? x = - l(s) is f(x)…

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A: given function

Q: Find the derivative of: Type your answer without negative exponents. Simplify completely. 25x 3…

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Q: Evaluate the indefinite integral. +C 5- 4 sin x Cos x dx

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Q: Find the domain of the function f(x, y) = ln(x² + y² - 9) + √-y.

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Q: Evaluate the indefinite integral. Answer = +C St tan¹ (2x) dx

A: Let,  A=.

Q: Find the first and second derivatives of the following. 1-4√√x+x³ (a) y = (b) y = 3x²e² Y (c) y = x³…

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Q: Consider the function f(x) = -2x³ + 36x² - 192x + 1.

A: f(x)=−2x3+36x2−192x+1

Q: Given that f(x)=√√16-x² and g(x)=x+4, what is the rule and domain for (+)(x)₂ Only one item from the…

A: Given,